Consequentialist positions in philosophy spell out normative notions by recourse to final aims. Hedonistic versions of ETHICAL consequentialism spell out what is MORALLY right/justified via recourse to the aim of increasing pleasure and decreasing pain. Veritistic versions of EPISTEMIC consequentialism spell out what is EPISTEMICALLY right/justified via recourse to the aim of increasing the number of true beliefs and decreasing the number of false ones. Even though these theories are in many respects structurally analogous, there are also interesting disanalogies. For example, popular versions of epistemic consequentialism implicitly endorse the truth-indication principle (which claims that a belief is epistemically justified only if there are factors indicating that the belief itself is true), whereas popular versions of ethical consequentialism do not subscribe to an analogous pleasure-indicating principle (which claims that an act is morally justified only if there are factors indicating that performing the act itself is pleasurable). In a first step I will argue that this difference rests on the fact that plausible versions of epistemic consequentialism have to meet certain constraints, which versions of ethical consequentialism do not have to satisfy. As these constraints can be easily met by incorporating the truth-indication principle, epistemic consequentialists tend to subscribe to it. In a second step I will investigate whether the identified constraints can also be met independent from the truth-indication principle. Are there plausible versions of veritistic epistemic consequentialism that reject the principle, thereby allowing that some beliefs can be epistemically justified even though no factors speak in favor of their truth? Building on ideas put forward by Ludwig Wittgenstein, Crispin Wright, and others, I will answer this question affirmatively.